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Finding the Fourth Proportional to 19,224.90, 28,837.35 and 8,129.82

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Solution

The fourth proportional to 19,224.90, 28,837.35 and 8,129.82 is: 12,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224.90 : 28,837.35 = 8,129.82 : x
  2. Step 2: Convert to fraction form
    19,224.90/28,837.35 = 8,129.82/x
  3. Step 3: Cross multiply
    19,224.90x = 28,837.35 × 8,129.82
  4. Step 4: Simplify right side
    19,224.90x = 234,442,464.78
  5. Step 5: Solve for x
    x = 234,442,464.78/19,224.90
  6. Step 6: Final answer
    x = 12,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.